Properties of the Number 56607

Fifty-Six Thousand Six Hundred Seven

Basics

Value: 56606 → 56607 → 56608

Parity: odd

Prime: No

Previous Prime: 56599

Next Prime: 56611

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 18869

Divisors: 1, 3, 18869, 56607

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1101110100011111

Octal: 156437

Duodecimal: 28913

Hexadecimal: dd1f

Square: 3204352449

Square Root: 237.92225620988046

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

G.f.: ∑_{n >= 1} xⁿ/(1-xⁿ)⁵. A73570

Number of n X 7 0..1 arrays with rows, diagonals and antidiagonals unimodal and columns nondecreasing. A223837

Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..4 array extended with zeros and convolved with 1,2,1. A222123

Numbers k such that 441·2^k+1 is prime. A323149

T(n,k) = number of n X k 0..1 arrays with rows, diagonals and antidiagonals unimodal and columns nondecreasing. A223838

a(n) is the n-th primorial divided by squarefree kernel of corresponding central binomial coefficient. A56607